17% Discount on watch

mediumGrade 6-8discount

The Problem

A watch costs $287. The store offers a 17% discount. What is the final price?

Answer:

$238

Key Information

  • Original price: $287
  • Discount: 17%

Formula

Final Price = Original Price - (Original Price × Discount%)

Step-by-Step Solution

1

Identify original price and discount

Original price = $287, Discount = 17%
2

Calculate discount amount

Discount = 287 × 17% = 287 × 0.17
3

Calculate discount value

287 × 0.17 = $49
4

Subtract discount from original price

287 - 49 = 238
5

Final answer

The final price is $238

Common Mistakes to Avoid

  • Forgetting to subtract the discount from original price
  • Calculating percentage incorrectly

Helpful Tips

  • Convert percentage to decimal by dividing by 100
  • Multiply, then subtract from original price

Real-World Application

Discount calculations help you save money when shopping during sales.

Universal Word Problem Strategy

Use this 5-step strategy for any word problem you encounter:

R

Read Carefully

Read the entire problem at least twice. Don't rush - understanding is key. Identify what question is being asked.

I

Identify Information

List all the given facts, numbers, and what you need to find. Underline or highlight key data.

S

Set Up the Equation

Translate words into math. Use variables for unknowns. Choose the right formula or create an equation.

E

Execute the Solution

Solve step by step. Show your work. Keep calculations organized and double-check arithmetic.

S

Sanity Check

Does your answer make sense in context? Check units. Re-read the question to ensure you answered what was asked.

Remember: R-I-S-E-S = Read, Identify, Set up, Execute, Sanity check

Tips for Percentage Problems

Recognize Patterns

Age problems often involve time relationships (years ago, years from now). Set up equations comparing ages at different times.Percentage problems convert between decimals and percents. Remember: percent means "per hundred."

Define Variables Clearly

Write out what each variable represents. For example: "Let x = current age" is clearer than just "x = age." This prevents confusion when solving.

Work Backwards to Check

Once you have an answer, plug it back into the original problem (not just your equation). Does it satisfy all the conditions stated?

Draw It Out

Diagrams, tables, and visual representations help organize information and reveal relationships that aren't obvious from text alone.

Frequently Asked Questions

What is the answer to this problem?▼
The answer is $238. See the step-by-step solution above for the complete explanation of how to arrive at this answer.
How do you approach percentage problems?▼
First, read carefully to understand what's being asked. Then identify all given information and what you need to find. Set up equations based on the relationships described, solve step by step, and verify your answer makes sense in the real-world context.
What are the key steps to solving word problems?▼
Use the R-I-S-E-S method: Read the problem carefully, Identify known information,Set up equations, Execute the solution, and Sanity check your answer. This systematic approach works for any type of word problem.
Why are word problems important?▼
Word problems connect math to real life. They develop critical thinking, reading comprehension, and problem-solving skills that are essential in careers like engineering, science, medicine, finance, and technology. They also appear frequently on standardized tests like SAT and ACT.
What's the most common mistake in word problems?▼
The most common mistake is not reading carefully enough. Many students rush and miss key details, or answer a different question than what was asked. Always re-read the problem after solving to ensure your answer addresses what was specifically asked.
How can I get better at word problems?▼
Practice regularly with different types of problems. Start with easier ones and progress to harder ones. Always write out your work step by step. Review mistakes to understand where you went wrong. Learn to recognize common problem patterns. With consistent practice, word problems become much easier!

Related Topics:

percentagediscountmoneyword problems

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